42192035649 has 45 divisors (see below), whose sum is σ = 65358966387. Its totient is φ = 27123583536.

The previous prime is 42192035603. The next prime is 42192035671. The reversal of 42192035649 is 94653029124.

The square root of 42192035649 is 205407.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22124480049 + 20067555600 = 148743^2 + 141660^2 .

It is not a de Polignac number, because 42192035649 - 2¹¹ = 42192033601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42192035449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53610834 + ... + 53611620.

Almost surely, 2^42192035649 is an apocalyptic number.

42192035649 is the 205407-th square number.

42192035649 is the 102704-th centered octagonal number.

It is an amenable number.

42192035649 is a deficient number, since it is larger than the sum of its proper divisors (23166930738).

42192035649 is an frugal number, since it uses more digits than its factorization.

42192035649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42192035649 in words is "forty-two billion, one hundred ninety-two million, thirty-five thousand, six hundred forty-nine".